Question: How do I approach this? Short answer type with reasoning. Consider the optimal control problem Ju] = foT |y(t)|2 + |u(t)|2 dt subject to the

How do I approach this? Short answer type with reasoning.

How do I approach this? Short answer type with
Consider the optimal control problem Ju] = foT |y(t)|2 + |u(t)|2 dt subject to the dynamics 3': 2 Ax + Bu, y = Car and the initial condition 39(0) 7A 0. It is known that the optimal value JT[u*] E 0 for all T. Does this necessarily imply (A,B) is not controllable, (A, C) is not observable, neither, both

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